A) \[\frac{5}{999}\]
B) \[\frac{1001}{999}\]
C) \[\frac{1001}{3}\]
D) None of these
Correct Answer: C
Solution :
Expression \[=\left( 2-\frac{1}{3} \right)\left( 2-\frac{3}{5} \right)\left( 2-\frac{5}{7} \right)...\left( 2-\frac{997}{999} \right)\] \[=\left( \frac{5}{3} \right)\left( \frac{7}{5} \right)\left( \frac{9}{7} \right)...\left( \frac{1001}{999} \right)=\frac{1001}{3}\]
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